Question

Упростите выражение a(a+5)-(a-2)2 при a=0,5

Answer 1

a(a+5)-(a-2)2= 
a^2+5a-2a+4=a^2+3a+4
при a=0.5 =>  0.25+1.5+4=5.75

Answer 2

0,5*(0,5+5)-(0,5-2)*2 то,
            /            /
         5,5        -1,5

0,5*5,5=2, 75; -1,5 * 2= -3

2,75 - (-3) = -5,75

Answer 3

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To simplify the expression $$a(a+5)-(a-2)^2$$ when $$a=0.5$$, we can follow these steps:

- Substitute $$a=0.5$$ into the expression and use parentheses to avoid confusion.

$$\begin{aligned} (0.5)(0.5+5)-(0.5-2)^2 &= (0.5)(5.5)-(1.5)^2 \\ \end{aligned}$$

- Multiply the terms inside the parentheses and use the exponent rule $$(x-y)^2=x^2-2xy+y^2$$.

$$\begin{aligned} (0.5)(5.5)-(1.5)^2 &= 2.75-2.25-4.5+2.25 \\ \end{aligned}$$

- Simplify by combining like terms.

$$\begin{aligned} 2.75-2.25-4.5+2.25 &= -1.75 \\ \end{aligned}$$

Therefore, the simplified expression is $$-1.75$$ when $$a=0.5$$.Ответь+подробно.+Упростите+выражение+a(a+5)-(a-2)2+при+a=0,5